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2021133312 = 210321119937
BaseRepresentation
bin111100001111000…
…0000110000000000
312012212010012200100
41320132000300000
513114402231222
6532315522400
7101041230642
oct17036006000
95185105610
102021133312
11947971410
12484a59400
13262966593
141525da892
15bc6894ac
hex78780c00

2021133312 has 132 divisors (see below), whose sum is σ = 6366841416. Its totient is φ = 612433920.

The previous prime is 2021133299. The next prime is 2021133347. The reversal of 2021133312 is 2133311202.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91408 + ... + 111344.

Almost surely, 22021133312 is an apocalyptic number.

2021133312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183420708).

2021133312 is an abundant number, since it is smaller than the sum of its proper divisors (4345708104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2021133312 is a wasteful number, since it uses less digits than its factorization.

2021133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19974 (or 19953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2021133312 is about 44957.0162711006. The cubic root of 2021133312 is about 1264.3432278401.

Adding to 2021133312 its reverse (2133311202), we get a palindrome (4154444514).

The spelling of 2021133312 in words is "two billion, twenty-one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 19937 25344 33792 39874 50688 59811 79748 101376 119622 159496 179433 219307 239244 318992 358866 438614 478488 637984 657921 717732 877228 956976 1275968 1315842 1435464 1754456 1913952 1973763 2551936 2631684 2870928 3508912 3827904 3947526 5103872 5263368 5741856 7017824 7655808 7895052 10207744 10526736 11483712 14035648 15311616 15790104 20415488 21053472 22967424 28071296 30623232 31580208 42106944 45934848 56142592 61246464 63160416 84213888 91869696 112285184 126320832 168427776 183739392 224570368 252641664 336855552 505283328 673711104 1010566656 2021133312